I was going to mention this to you in PM, but I wasn't sure if you had a real NES or not and they are starting to get costly.
Nearly every NES clone out there is a NOAC (nes on a chip). Overall they are pretty good, but they suffer from general sound and compatibility issues. Basically it's not using real nes hardware and you might as well be emulating the games. I'm not sure about the 4-score, but I wouldn't count on it. They don't have hdmi out because the NOAC only supports composite out. They are the same as a real nes in that regard.
The main reason to avoid one is you can't play the awesome castlevania III on it.
http://www.dkoldies.com/retron-1-system-pak-new/Note the list of games you can't play (which is incomplete I think) at that link.
They have a bad habit of scratching/messing up your carts as well until you break them in.
Get your nes fixed... you are going to have a better experience for your money.
What's wrong with it btw? 90% of nes issues is just the stupid pin connector. Open the thing up, take a small screwdriver and bend the pins out (so they make better contact with the edge connector on the carts) and 9 times out of 10 you are good to go. They even make replacement connectors, which just slide in, if you don't want to mess with that.